An explanation for galaxy rotation curves using a Clifford multivector spacetime framework

TL;DR

This paper proposes a Clifford multivector spacetime model where space and time are described using geometric algebra, naturally explaining galaxy rotation curves without dark matter by incorporating curvature and Hubble expansion.

Contribution

It introduces a novel Clifford multivector spacetime framework that accounts for galaxy rotation curves without dark matter, integrating curvature and cosmic expansion.

Findings

Reproduces galaxy rotation curves without dark matter

Uses Clifford multivector algebra to model spacetime

Incorporates Hubble expansion into the model

Abstract

We explore the consequences of space and time described within the Clifford multivector of three dimensions $ Cl_{3,0}$, where space consists of three-vectors and time is described with the three bivectors of this space. When describing the curvature around massive bodies, we show that this model of spacetime when including the Hubble expansion naturally produces the correct galaxy rotation curves without the need for dark matter.